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4131214321024 = 2774610730269
BaseRepresentation
bin111100000111011111100…
…011111110010110000000
3112121221101102120211211201
4330013133203332112000
51020141211331233044
612441504220150544
7604320225223030
oct74073743762600
915557342524751
104131214321024
11135304686909a
125687a7398454
1323c758439ccb
14103d47bc58c0
15726e07377d4
hex3c1df8fe580

4131214321024 has 32 divisors (see below), whose sum is σ = 9405889750800. Its totient is φ = 1770520422912.

The previous prime is 4131214321001. The next prime is 4131214321027. The reversal of 4131214321024 is 4201234121314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4131214320983 and 4131214321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131214321027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2305364239 + ... + 2305366030.

Almost surely, 24131214321024 is an apocalyptic number.

It is an amenable number.

4131214321024 is an abundant number, since it is smaller than the sum of its proper divisors (5274675429776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131214321024 is an equidigital number, since it uses as much as digits as its factorization.

4131214321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610730290 (or 4610730278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4131214321024 its reverse (4201234121314), we get a palindrome (8332448442338).

The spelling of 4131214321024 in words is "four trillion, one hundred thirty-one billion, two hundred fourteen million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4610730269 9221460538 18442921076 32275111883 36885842152 64550223766 73771684304 129100447532 147543368608 258200895064 295086737216 516401790128 590173474432 1032803580256 2065607160512 4131214321024